• Volume/Page
  • Keyword
  • DOI
  • Citation
  • Advanced
   
 
 
 

You are not logged in You are logged out of this journal. Log In

Journal of the Acoustical Society of America / Volume 121 / Issue 6 / ULTRASONICS, QUANTUM ACOUSTICS, AND PHYSICAL EFFECTS OF SOUND [35]

An extended coupled phase theory for the sound propagation in polydisperse concentrated suspensions of rigid particles

J. Acoust. Soc. Am. Volume 121, Issue 6, pp. 3386-3397 (2007); (12 pages)

Michael Baudoin1, Jean-Louis Thomas2, François Coulouvrat3, and Daniel Lhuillier3

1Institut Jean Le Rond D’Alembert (IJLRDA), UMR CNRS 7190 and Institut des NanoSciences de Paris (INSP), UMR CNRS 7588, Université Pierre et Marie Curie - Paris 6, 4 place Jussieu, 75252 Paris Cedex 05, France
2INSP, CNRS and Université Pierre et Marie Curie - Paris 6, 75252 Paris Cedex 05, France
3IJLRDA, CNRS and Université Pierre et Marie Curie - Paris 6, 75252 Paris Cedex 05, France

Full Text: Read Online (HTML) | Download PDF | Buy PDF (US$30) | View Cart
An extension of the classical coupled phase theory is proposed to account for hydrodynamic interactions between neighboring rigid particles, which are essential to describe properly the sound propagation in concentrated suspensions. Rigorous ensemble-averaged equations are derived for each phase and simplified in the case of acoustical wave propagation. Then, closure is achieved by introducing a self-consistent scheme originally developed by Buyevich and Shchelchkova [ Prog. Aerosp. Sci. 18, 121–151 (1978) ] for incompressible flows, to model the transfer terms between the two phases. This provides an alternative to the effective medium self-consistent theory developed by Spelt et al. [ J. Fluid Mech. 430, 51–86 (2001) ] in which the suspension is considered as a whole. Here, a significantly simpler formulation is obtained in the long wavelength regime. Predictions of this self-consistent theory are compared with the classical coupled phase theory and with experimental data measuring the attenuation in concentrated suspensions of silica in water. Our calculation is shown to give a good description of the attenuation variation with volume fraction. This theory is also extended to the case of polydisperse suspensions. Finally, the link between the self-consistent theory and the different orders of the multiple scattering theory is clarified.

© 2007 Acoustical Society of America

ACKNOWLEDGMENTS

The authors would like to thank A. K. Hipp, G. Storti, and M. Morbidelli (Department of Chemical Engineering, ETH Zürich) for kindly providing us with the results of their experiments.

Article Outline

  1. INTRODUCTION
  2. THEORY
    1. Ensemble-averaged equations
    2. The test particle problem
    3. The self-consistent closure scheme
    4. Application to the propagation of an acoustic wave
      1. Linearized equations
      2. The long wavelength regime (LWR)
      3. Correlations of particles in position
      4. The self-consistent condition
    5. Dispersion equation for a plane acoustic wave
  3. COMPARISON WITH EXPERIMENTS AND OTHER THEORIES
    1. Theoretical comparison with the multiple scattering theory
    2. Comparison with the classical coupled phase theory and experimental data
  4. EXTENSION TO THE POLYDISPERSE CASE
  5. CONCLUSION

RELATED DATABASES

To view database links for this article, you need to log in.

KEYWORDS and PACS

Keywords

suspensions, acoustic wave propagation, acoustic wave absorption, water, silicon compounds

PACS

  • 43.35.Bf

    Ultrasonic velocity, dispersion, scattering, diffraction, and attenuation in liquids, liquid crystals, suspensions, and emulsions

ARTICLE DATA

History
Received 15 Nov 2006
Accepted 15 Mar 2007
Revised 07 Mar 2007
Digital Object Identifier
http://dx.doi.org/10.1121/1.2723648

PUBLICATION DATA

ISSN

0001-4966 (print)  

Publisher

$abstract.society.value is a Member of CrossRef Acoustical Society of America

For access to fully linked references, you need to log in.

For access to citing articles, you need to log in.


Figures (7)

Access to article objects (figures, tables, multimedia) requires a subscription; log in to view available files.
(Access to supplementary files, where available, is free for this journal.)



Close

Your Recent History Recent History Help

Recently Viewed

  1. An extended coupled phase theory for the sound propagation in polydisperse concentrated suspensions of rigid particles
  2. Ocean acoustic interferometry
  3. Fast automatic inharmonicity estimation algorithm
  4. Characterization of uncertainty in outdoor sound propagation predictions
  5. Active acoustic time reversal for underwater acoustic barriers

Home Publications Meetings Contact ASA Site Map Back to Top

Copyright © Acoustical Society of America

close